2015
Prentice Hall Mathematics

7th Grade - Gateway 1

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Gateway Ratings Summary

Focus & Coherence

Gateway 1 - Does Not Meet Expectations
42%
Criterion 1.1: Focus
2 / 2
Criterion 1.2: Coherence
0 / 4
Criterion 1.3: Coherence
4 / 8

The instructional materials reviewed for Grade 7 do not meet the expectations for alignment to focusing on major work of the grade and coherence. The instructional materials meet expectations for the first of the two focus criteria by not assessing above Grade 7 standards, but they do not meet the second of the two criteria by allocating too large of a percentage of instructional materials to non-major standards of the grade. Some strengths are found and noted in the coherence criterion, but too many areas of weakness lead to the instructional materials only partially meeting quality expectations for coherence. Overall, the instructional materials do not consistently develop the grade-by-grade progressions and foster coherence with more connections within Grade 7.

Criterion 1.1: Focus

2 / 2
Materials do not assess topics before the grade level in which the topic should be introduced.

The instructional materials reviewed for Grade 7 meet the expectations for assessing grade-level content. Overall, the instructional materials do not assess content from future grades within the summative assessments provided for each chapter.

Indicator 1a

2 / 2
The instructional material assesses the grade-level content and, if applicable, content from earlier grades. Content from future grades may be introduced but students should not be held accountable on assessments for future expectations.

The instructional materials reviewed for Grade 7 meet the expectations for assessing grade-level content. Overall, the instructional materials do not assess content from future grades within the summative assessments provided for each chapter.

  • Although similarity is introduced, its inclusion is congruent with 7.G.A.1.

Criterion 1.2: Coherence

0 / 4

Students and teachers using the materials as designed devote the large majority of class time in each grade K-8 to the major work of the grade.

The instructional materials reviewed for Grade 7 do not meet the expectations for spending the large majority of class time on the major clusters of the grade. The text allocates 58% of lessons and 59% of days for instruction to major work of the grade. Some of the non-major lessons do support the major work of Grade 7, but the amount of support is not enough to lead to a large majority of instructional time on major clusters of the grade. Overall, the instructional materials do not allocate a large majority of the time to the major work of the grade.

Indicator 1b

0 / 4

Instructional material spends the majority of class time on the major cluster of each grade.

The instructional materials reviewed for Grade 7 do not meet the expectations for spending the large majority of class time on the major clusters of the grade. Overall, the instructional materials do not allocate a large majority of the time to the major work of the grade.

  • Forty-four (44) out of 76 (58%) lessons are aligned with the major work of the grade.
  • The text allocates 89 days out of 150 (59%) for instruction on major work for the grade.
  • Some of the non-major lessons do support the major work of Grade 7, but the amount of support is not enough to create a large majority of instructional time on major clusters of the grade.

Criterion 1.3: Coherence

4 / 8

Coherence: Each grade's instructional materials are coherent and consistent with the Standards.

The instructional materials reviewed for Grade 7 do not meet the expectations for being coherent and consistent with the CCSSM. The instructional materials have an amount of content designated for Grade 7 that is partially viable for one school year, and they also show strengths by having learning objectives that are visibly shaped by the CCSSM cluster headings. The instructional materials partially have the supporting content enhancing focus and coherence simultaneously, and they partially foster coherence through connections at a single grade. Overall, the instructional materials for Grade 7 exhibit some characteristics of coherence as noted in indicators 1d and 1f, but for the entire criteria, there are too many weaknesses for the materials to meet the expectations.

Indicator 1c

1 / 2

Supporting content enhances focus and coherence simultaneously by engaging students in the major work of the grade.

The instructional materials reviewed for Grade 7 partially meet the expectations for having the supporting content enhancing focus and coherence simultaneously. Overall, the instructional materials miss opportunities to support major clusters of standards with non-major clusters and as a result, the supporting content does not always engage students in the major work of Grade 7.

  • Supporting content can be found in chapters 6 and 7 (7.G) and 8 and 9 (7.SP) for the major standards in 7.EE. Chapter 8 supports the major standards in 7.RP.
  • Chapters 6 and 7 do not support the major work of the grade 7.NS.
  • In chapter 6, lesson 6.1 does not include opportunities to work with rational numbers, and in lesson 6.2, only five of 25 problems include rational values. Students are only assessed with whole numbers on checkpoint quiz 1, and checkpoint quiz 2 only includes 17.5 as the hypotenuse of the triangle in number 1, which is the only rational value on the assessment. On the chapter 6 test, three of 23 problems include rational values.
  • In chapter 7, there are limited opportunities for students to practice manipulating rational numbers with the exception of pi.

Indicator 1d

1 / 2

The amount of content designated for one grade level is viable for one school year in order to foster coherence between grades.

The instructional materials reviewed for Grade 7 partially meet the expectations for having an amount of content designated for one grade level as viable for one school year. Overall, the amount of time needed to complete the lessons is partially appropriate for a school year of approximately 170-190 days.

  • As noted in the pacing on pages T42-T45, the book totals 150 days of instruction, leaving time for review and enrichment, additional activity labs, assessments and projects.
  • Days beyond the 150 suggested by the materials can be used for assessment purposes or utilizing some of the guided problem-solving items.
  • Given the instructional materials not allocating enough time to major clusters of the grade as addressed in indicator 1b, these instructional materials would have to be supplemented with other materials which means these materials may not be viable for one school year.

Indicator 1e

1 / 2

Materials are consistent with the progressions in the Standards i. Materials develop according to the grade-by-grade progressions in the Standards. If there is content from prior or future grades, that content is clearly identified and related to grade-level work ii. Materials give all students extensive work with grade-level problems iii. Materials relate grade level concepts explicitly to prior knowledge from earlier grades.

The instructional materials reviewed for Grade 7 partially meet the expectations for having materials that are consistent with the progressions in the CCSSM. Overall, the materials partially give students extensive work with grade-level problems, and grade-level concepts are not always explicitly related to prior knowledge from earlier grades. Also, the materials partially develop according to the grade-by-grade progressions, with non-grade-level content clearly identified.

  • There is little focus on 7.EE.B.3 (chapter 5) and much focus on 7.EE.B.4 (chapter 2), but 7.EE.A.1, which helps with generating equivalent expressions, is a very small part of chapter 2 (labeled as simplifying expressions instead of generating equivalent expressions).
  • This text addresses number operations entirely in chapter 1 without properly interweaving Grade 6 understandings. This text also fails to provide adequate opportunities to explore rational numbers beyond chapters 1 and 4, leaving students unprepared for the work of the next grade.
  • There is a beginning-of-course diagnostic test provided to test skills that have been taught in previous years, and at the beginning of each chapter, there is a "Check Your Readiness" that addresses skills acquired from previous years that relate to the new material.
  • The majority of the Grade 7 standards require students to apply skills to real-world contexts, but lessons do not provide extensive opportunities to engage in real-world problems.
  • Exercises and chapter tests lack extensive work with fractions, and there is often only one challenge problem per section, giving little opportunity for learning grade-level content in greater depth.
  • Each lesson provides approximately five to 10 grade-level problems.
  • Each lesson provides a "Math Background" that relates grade-level concepts to prior knowledge, but they do not make explicit connections to when the skills were introduced or how they relate to the new concepts.
  • At the beginning of each chapter, there is an "Activating Prior Knowledge" section, but these passages containing essential understandings from Grade 6 are only found in the teacher edition.

Indicator 1f

1 / 2

Materials foster coherence through connections at a single grade, where appropriate and required by the Standards i. Materials include learning objectives that are visibly shaped by CCSSM cluster headings. ii. Materials include problems and activities that serve to connect two or more clusters in a domain, or two or more domains in a grade, in cases where these connections are natural and important.

The instructional materials reviewed for Grade 7 partially meet the expectations for having materials foster coherence through connections at a single grade. Overall, the materials show some strengths at including learning objectives that are visibly shaped by the CCSSM cluster headings, but the materials do not always connect two or more clusters in a domain or two or more domains in a grade when appropriate.

  • In general, the chapters are shaped by the cluster headings.
  • Cluster heading 7.EE.A.1 is found in lesson 2.2, but is not adequately addressed.
  • 7.SP.A is found in the lesson 8.3 objective, to use data from random samples to make inferences about the populations.
  • The sections on geometry are aligned to one standard per section.
  • Some of the statistics sections have more than one content standard, but they do not connect to more than one cluster.
  • 7.RP and 7.G domains are connected in lesson 4.6 by using proportional reasoning to find missing values of similar figures, but students are only asked to sketch one model in number 16 and not to the actual size given in the problem.
  • 7.RP and 7.EE are linked in lesson 5.6 by connecting the percent of change equation with proportional reasoning.
  • The Grade 7 focus on ratios and proportional reasoning and expressions and equations is not linked clearly with supporting clusters found in chapters 6 and 7 (geometry) or chapters 8 and 9 (statistics and probability).